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Beliebt Geometry >

3x^2-12x+2y^2+8y+14=0

Lösung

3 x^{2} - 12 x + 2 y^{2} + 8 y + 14 = 0

Lösung

(h, k) = (2, - 2), a = 2, b = 3

Schritte zur Lösung

3 x^{2} - 12 x + 2 y^{2} + 8 y + 14 = 0

Rewrite

3 x^{2} - 12 x + 2 y^{2} + 8 y + 14 = 0

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{( 2 ) ^{2}} + \frac{( y - ( - 2 ) ) ^{2}}{( 3 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, - 2), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, - 2), b = 3, a = 2

Graph

Beliebte Beispiele

(x-7)^2+6y^2+12y=0

(x - 7)^{2} + 6 y^{2} + 12 y = 0

((x+2)/4)^2+((y-3)/(16))^2=1

(\frac{x + 2}{4})^{2} + (\frac{y - 3}{16})^{2} = 1

4 x^{2} + 9 y^{2} = 2 x

x^{2} + 4 x + 4 y^{2} = 0

2 x^{2} + 4 y^{2} = 18